THERMAL CONTROL OF A RATE-INDEPENDENT MODEL FOR PERMANENT INELASTIC EFFECTS IN SHAPE MEMORY MATERIALS

被引：6

作者：

Eleuteri, Michela ^{[1
]}

Lussardi, Luca ^{[2
]}

机构：

[1] Univ Florence, Dipartimento Matemat & Informat, I-50134 Florence, Italy

[2] Univ Cattolica Sacro Cuore, Dipartimento Matemat & Fis N Tartaglia, I-25121 Brescia, Italy

来源：

EVOLUTION EQUATIONS AND CONTROL THEORY | 2014年 / 3卷 / 03期

关键词：

Shape memory alloys; optimal control; rate-independent; quasi-static evolution; permanent inelasticity; SOLID-PHASE TRANSFORMATIONS; SOUZA-AURICCHIO MODEL; 3-DIMENSIONAL MODEL; THERMOMECHANICAL EVOLUTION; CONSTITUTIVE MODEL; STATE CONSTRAINTS; ALLOYS; STRESS; EXISTENCE; TEMPERATURE;

D O I：

10.3934/eect.2014.3.411

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We address the thermal control of the quasi-static evolution of a polycrystalline shape memory alloy specimen. The thermomechanical evolution of the body is described by means of an extension of the phenomenological SOUZA-AURICCHIO model [6, 7, 8, 57] accounting also for permanent inelastic effects [9, 11, 2]. By assuming to be able to control the temperature of the body in time we determine the corresponding quasi-static evolution in the energetic sense. In a similar way as in [28], using results by RINDLER [49, 50] we prove the existence of optimal controls for a suitably large class of cost functionals.

引用

页码：411 / 427

页数：17

共 62 条

[21] Brokate M., 1993, PITMAN RES NOTES MAT, V280, P208
[22] Brokate M., 1996, APPL MATH SCI, V121
[23] Optimal boundary control problems for shape memory alloys under state constraints for stress and temperature
Bubner, N
Sokolowski, J
Sprekels, J
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1998, 19 (5-6) : 489 - 498
[24] GLOBAL EXISTENCE FOR A 3-DIMENSIONAL MODEL FOR THE THERMOMECHANICAL EVOLUTION OF SHAPE MEMORY ALLOYS
COLLI, P
SPREKELS, J
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1992, 18 (09) : 873 - 888
[25] Eleuteri M., 2014, DISCRETE CONT DY S B, V19
[26] THERMAL CONTROL OF THE SOUZA-AURICCHIO MODEL FOR SHAPE MEMORY ALLOYS
Eleuteri, Michela
Lussardi, Luca
Stefanelli, Ulisse
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2013, 6 (02): : 369 - 386
[27] NON-ISOTHERMAL CYCLIC FATIGUE IN AN OSCILLATING ELASTOPLASTIC BEAM
Eleuteri, Michela
Kopfova, Jana
Krejci, Pavel
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2013, 12 (06) : 2973 - 2996
[28] A thermodynamic model for material fatigue under cyclic loading
Eleuteri, Michela
Kopfova, Jana
Krejci, Pavel
[J]. PHYSICA B-CONDENSED MATTER, 2012, 407 (09) : 1415 - 1416
[29] A RATE-INDEPENDENT MODEL FOR PERMANENT INELASTIC EFFECTS IN SHAPE MEMORY MATERIALS
Eleuteri, Michela
Lussardi, Luca
Stefanelli, Ulisse
[J]. NETWORKS AND HETEROGENEOUS MEDIA, 2011, 6 (01) : 145 - 165
[30] A 3D SMA constitutive model in the framework of finite strain
Evangelista, Veronica
Marfia, Sonia
Sacco, Elio
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2010, 81 (06) : 761 - 785

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